1. In section 3.1 we claimed that the 'sum' of any two codewords of the Hamming (7,4)...

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1. In section 3.1 we claimed that the 'sum' of any two codewords of the Hamming (7,4) code is another codeword of the same code. Can you think of a way of verifying this without summing all possible pairs of the sixteen codewords?

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